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Finding the Fourth Proportional to 6,306.32, 9,473.25 and 5,420.58

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Solution

The fourth proportional to 6,306.32, 9,473.25 and 5,420.58 is: 8,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.32 : 9,473.25 = 5,420.58 : x
  2. Step 2: Convert to fraction form
    6,306.32/9,473.25 = 5,420.58/x
  3. Step 3: Cross multiply
    6,306.32x = 9,473.25 × 5,420.58
  4. Step 4: Simplify right side
    6,306.32x = 51,350,509.49
  5. Step 5: Solve for x
    x = 51,350,509.49/6,306.32
  6. Step 6: Final answer
    x = 8,142.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.